Answer:
60°
Step-by-step explanation:
Complementary angles sum to 90° , then
x + x + 30 = 90
2x + 30 = 90 ( subtract 30 from both sides )
2x = 60 ( divide both sides by 2 )
x = 30
Then
larger angle = x + 30 = 30 + 30 = 60°
Answer:
<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>
Answer:
75 in²
Step-by-step explanation:
From the diagram, you can see that the shape is made up of a square and 4 triangles. (We know it's a square as the width = length).
First, find the area of the square.
Area of a square = width x length = 5 x 5 = 25 in²
All the triangles are the same, so we need to find the area of one of the triangle and multiply it by 4.
Area of a triangle = x base x height = x 5 x 5 = 12.5 in²
So total area of 4 of these triangles = 4 x 12.5 = 50 in²
Therefore the total surface area = 25 + 50 = 75 in²
Equals 10
.................
Answer:
14
Step-by-step explanation:
7x-1+6x-1=180
13x-2=180
13x=180+2
13x=182
x=14